ZuoTi.Pro
Question

Claim: ACT Scores will increase when a student takes the ACT a second time, even without additional preparation. You are investigating the validity of this claim. Use a confidence level of 0.05. Let V1 = Initial ACT score, 2 = Second ACT score.


 DATA: A total of 25 students participated in the study. Each student has two ACT scores. The scores for each student are listed in the Excel file that you should have downloaded at the beginning of the exam. 


You are investigating the validity of this claim. Clearly label each portion of your answer as STEP 1 through STEP 6.


D F m B Initial ACT Second ACT WN 1 2 18 30 22 29 8 4 5 6 7 8 9 10 11 12 13 14 15 А Individual 1 2 3 4 5 6 7 8 9 10 11 12 13



math   Statistics-And-Probability   
1 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

✔ Recommended Answer
Answer #1

Given that,
mean(x)=24.72
standard deviation , s.d1=3.831
number(n1)=25
y(mean)=23.64
standard deviation, s.d2 =3.938
number(n2)=25
null, Ho: u1 = u2
alternate, H1: u1 > u2
level of significance, α = 0.05
from standard normal table,right tailed t α/2 =1.711
since our test is right-tailed
reject Ho, if to > 1.711
we use test statistic (t) = (x-y)/sqrt(s.d1^2/n1)+(s.d2^2/n2)
to =24.72-23.64/sqrt((14.67656/25)+(15.50784/25))
to =0.9829
| to | =0.9829
critical value
the value of |t α| with min (n1-1, n2-1) i.e 24 d.f is 1.711
we got |to| = 0.98288 & | t α | = 1.711
make decision
hence value of |to | < | t α | and here we do not reject Ho
p-value:right tail - Ha : ( p > 0.9829 ) = 0.16773
hence value of p0.05 < 0.16773,here we do not reject Ho
ANSWERS
---------------
null, Ho: u1 = u2
alternate, H1: u1 > u2
test statistic: 0.9829
critical value: 1.711
decision: do not reject Ho
p-value: 0.16773
we do not have enough evidence to support the claim that ACT scores will increase when a student takes the ACT a second time even without additional preparation.

0 0
Add a comment
Know the answer?
Add Answer to:
Claim: ACT Scores will increase when a student takes the ACT a second time
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Similar Homework Help Questions

  • c++ implement a student class Determine the final scores, letter grades, and rankings of all students...

    c++ implement a student class Determine the final scores, letter grades, and rankings of all students in a course. All records of the course will be stored in an input file, and a record of each student will include the first name, id, five quiz scores, two exam scores, and one final exam score. For this project, you will develop a program named cpp to determine the final scores, letter grades, and rankings of all students in a course. All...

  • Coaching companies claim that their courses can raise the SAT scores of high school students. Of...

    Coaching companies claim that their courses can raise the SAT scores of high school students. Of course, students who retake the SAT without paying for coaching generally raise their scores. A random sample of students who took the SAT twice found 427 who were coached and 2733 who were uncoached. Starting with their verbal scores on the first and second tries, we have these summary statistics:                                 Try 1                               Try 2                           Gain                             x            s                         x    s                      x       s...

  • An SAT prep course claims to improve the test score of students. The table below shows...

    An SAT prep course claims to improve the test score of students. The table below shows the scores for seven students the first two times they took the verbal SAT. Before taking the SAT for the second time, each student took a course to try to improve his or her verbal SAT scores. Do these results support the claim that the SAT prep course improves the students' verbal SAT scores? Let d=(verbal SAT scores prior to taking the prep course)−(verbal...

  • An SAT prep course claims to improve the test score of students. The table below shows...

    An SAT prep course claims to improve the test score of students. The table below shows the scores for seven students the first two times they took the verbal SAT. Before taking the SAT for the second time, each student took a course to try to improve his or her verbal SAT scores. Do these results support the claim that the SAT prep course improves the students' verbal SAT scores? Let d=(verbal SAT scores prior to taking the prep course)−(verbal...

  • Coaching companies claim that their courses can raise the SAT scores of high scho...continues

    Coaching companies claim that their courses can raise the SAT scores of high school students. Of course, students who retake the SAT without paying for coachinggenerally raise their scores. A random sample of students who took the SAT twice found 427 who were coached and 2733 who were uncoached. Starting with their verbalscores on the first and second tries, we have these summary statistics:Try 1 Try 2 Gainx s x s x sCoached 500 92 529 97 29 59Uncoached 506...

  • Question 7 - of 17 Step 2 of 5 01:38:52 An SAT prep course claims to...

    Question 7 - of 17 Step 2 of 5 01:38:52 An SAT prep course claims to improve the test score of students. The table below shows the scores for seven students the first two times they took the verbal SAT. Before taking the SAT for the second time, each student took a course to try to improve his or her verbal SAT scores. Do these results support the claim that the SAT prep course improves the students' verbal SAT scores?...

  • 1. Nine students took the SAT test. Their scores are listed below. Later on, they took...

    1. Nine students took the SAT test. Their scores are listed below. Later on, they took a test preparation course and retook the SAT. Their new scores are listed below. Use the Sign test to test the claim that the test preparation has no effect on their scores. Use α = 0.05. Student 1 2 3 4 5 6 7 8 9 Before 860 820 910 990 1000 930 870 1180 920 After 880 820 900 1030 1030 940 860...

  • C++ Programming

    PROGRAM DESCRIPTIONIn this project, you have to write a C++ program to keep track of grades of students using structures and files.You are provided a data file named student.dat. Open the file to view it. Keep a backup of this file all the time since you will be editing this file in the program and may lose the content.The file has multiple rows—each row represents a student. The data items are in order: last name, first name including any middle...

  • Program 7 Arrays: building and sorting (100 points) Due: Friday, October 30 by 11:59 PM Overview...

    Program 7 Arrays: building and sorting (100 points) Due: Friday, October 30 by 11:59 PM Overview For this assignment, write a program that will calculate the quiz average for a student in the CSCI 240 course. The student's quiz information will be needed for later processing, so it will be stored in an array. For the assignment, declare one array that will hold a maximum of 12 integer elements (ie. the quiz scores). It is recommended that this program be...

  • python 3 question Project Description Electronic gradebooks are used by instructors to store grades on individual assignments and to calculate students’ overall grades. Perhaps your instructor uses gr...

    python 3 question Project Description Electronic gradebooks are used by instructors to store grades on individual assignments and to calculate students’ overall grades. Perhaps your instructor uses gradebook software to keep track of your grades. Some instructors like to calculate grades based on what is sometimes called a “total points” system. This is the simplest way to calculate grades. A student’s grade is the sum of the points earned on all assignments divided by the sum of the points available...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
Active Questions
ADVERTISEMENT